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Finding the Third Proportional to 20,584 and 27,436

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Solution

The third proportional to 20,584 and 27,436 is: 36,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584 : 27,436 = 27,436 : x
  2. Step 2: Convert to fraction form
    20,584/27,436 = 27,436/x
  3. Step 3: Cross multiply
    20,584x = 27,436 × 27,436
  4. Step 4: Simplify right side
    20,584x = 752,734,096
  5. Step 5: Solve for x
    x = 752,734,096/20,584
  6. Step 6: Final answer
    x = 36,568.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.